36182790 has 96 divisors (see below), whose sum is σ = 109025280. Its totient is φ = 8154432.

The previous prime is 36182789. The next prime is 36182791. The reversal of 36182790 is 9728163.

It is an interprime number because it is at equal distance from previous prime (36182789) and next prime (36182791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36182791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49407 + ... + 50133.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 2^36182790 is an apocalyptic number.

36182790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36182790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54512640).

36182790 is an abundant number, since it is smaller than the sum of its proper divisors (72842490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36182790 is a wasteful number, since it uses less digits than its factorization.

36182790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 36182790 is about 6015.2132131787. The cubic root of 36182790 is about 330.7506328798.

The spelling of 36182790 in words is "thirty-six million, one hundred eighty-two thousand, seven hundred ninety".